ࡱ> c &bjbj 6z؎U\؎U\&'&'&'&'&':':':'8r''l:'T(()))h,&, ,Ӣբբբբբբ$f&',(,(,@,,&'&'))///,j&')&')Ӣ/,Ӣ//F{o)n~ڧ -RV$0Tٟ^-o&'oP,,/,,,,,/,,,T,,,,,,,,,,,,,> %:  Fluid Power Practice Problems Directions Answer the following questions. Sketch each, then label all known values. Be sure to include all steps and units throughout each solution. All problems assume that conditions are ideal. Forces such as friction are not considered. Problems A pneumatic system is producing 100 lb/in.2 of gauge pressure. A cylinder is needed to press an adhesive label onto a product. It has been determined that 5 lb of force is optimal to complete this task. Sketch and label all known and unknown values. Sketch  What is the required area of the pneumatic cylinder? FormulaSubstitute / SolveFinal Answer  What is the required diameter of the pneumatic cylinder? FormulaSubstitute / SolveFinal Answer  A hydraulic lift system utilizes two 3 in. diameter cylinders. Workers must determine how much the system is capable of lifting before deciding how much weight can be lifted safely. The system runs at a gauge pressure of 2000 lb/in.2. Sketch and label all known and unknown values. Sketch  What is the area of each piston? FormulaSubstitute / SolveFinal Answer  How much is the system capable of lifting? FormulaSubstitute / SolveFinal Answer  The gauge pressure of a pneumatic cylinder reads 20 lb/in.2 when the volume is 30 in.3. The cylinder is compressed until the gauge reads 60 lb/in.2. Assume standard atmospheric pressure (14.7 psi). Sketch and label all known and unknown values. Sketch  What is the absolute pressure before and after the cylinder gas is compressed? FormulaSubstitute / SolveFinal Answer  FormulaSubstitute / SolveFinal Answer  What is the volume in the cylinder after the gas is compressed? FormulaSubstitute / SolveFinal Answer  The air temperature in a 28 in.3 container with a free sliding piston is initially measured at 45 F. The temperature is raised to 200 F. What is the new volume of the container? Sketch and label all known and unknown values. Sketch  What are the absolute temperature readings initially and after the temperature has been raised? FormulaSubstitute / SolveFinal Answer  FormulaSubstitute / SolveFinal Answer  What is the volume in the cylinder after the temperature has been raised? FormulaSubstitute / SolveFinal Answer  A 60 ft3 compressor tank container has a gauge pressure of 160 lb/in.2 and a temperature of 70 F. The temperature after some time decreases to 40 F. Find the final pressure in the tank. Assume standard atmospheric pressure. Sketch and label all known and unknown values. Sketch  What are the absolute temperature readings initially and after the temperature decreases? FormulaSubstitute / SolveFinal Answer  FormulaSubstitute / SolveFinal Answer  What is the absolute pressure of the system before the temperature decreases? FormulaSubstitute / SolveFinal Answer  What is the absolute pressure of the system after the temperature decreases? FormulaSubstitute / SolveFinal Answer  A flow meter is attached in a hydraulic line that measures 12 gal/min. The line has an inside diameter of 1.5 in. Find the flow velocity where the fluid passes the meter. Sketch and label all known and unknown values. Sketch  What is the flow rate measured as in.3 /min at the meter? FormulaSubstitute / SolveFinal Answer  What is the area of inside diameter of the line? FormulaSubstitute / SolveFinal Answer  What is the flow velocity where the fluid passes the meter? FormulaSubstitute / SolveFinal Answer  A hydraulic press must be used to press-fit two components together in an assembly process. The system must generate at least 775 lb of force to perform the press fit. The piston at the input cylinder is pushed with a force of 250 lb and has an area of 30 in.2. The output can use up to 15 cylinders that are each 30 in.2. How many cylinders are needed? Sketch and label all known and unknown values. Sketch  How much mechanical advantage is required to gain the necessary force? FormulaSubstitute / SolveFinal Answer  How many output cylinders must be incorporated into the design?       2012 Project Lead The Way, Inc. Principles of Engineering Lesson 3.2 Fluid Power Practice Problems Page  PAGE 1   !+   F G K P   ) * f g j )*56stź䟖{vnvvv{v{vvhVB*ph hVH* hahVha hVaJhahV0J5hV0J5H* hV0J5h*"hVCJh*"hVCJaJh*"h*"CJaJhV5B* CJ(aJ(ph+R h*"h*"5B* CJ(aJ(ph+RhV-jh*"h*"B* CJ(UmHnHph `u+ !,     ! " # $ $If8)%$ % & \ d w $$Ifa$8ekd~$$Ifl$ t0644 la tnnnnnn$Ifkd$$IflF$  t06    44 la trpggg $$Ifa$8kd$$IflF$  t06    44 la tnnnnnn$Ifkd$$IflF$  t06    44 la     ! trprnhhhhh$If8kd$$IflF$  t06    44 la ! " # $ F N a n $$Ifa$8ekd.$$Ifl$ t0644 la 8$ & F$Ifa$n o p q r s t u tkkkkkk $$Ifa$kd$$IflF$  t06    44 lau v w trpggg $$Ifa$8kd($$IflF$  t06    44 la tkkkkkk $$Ifa$kd$$IflF$  t06    44 la trprnh____ $$Ifa$$If8kd>$$IflF$  t06    44 la *2ER8ekdɃ$$Ifl$ t0644 la 8$ & F$Ifa$ $$Ifa$RSTUVWXYtkkkkkk $$Ifa$kd8$$IflF$  t06    44 laYZ[cvtriii $$Ifa$kdÄ$$IflF$  t06    44 latkeeeee$If $$Ifa$kdN$$IflF$  t06    44 latrpggg $$Ifa$8kdم$$IflF$  t06    44 latkekkkk$If $$Ifa$kdd$$IflF$  t06    44 latrprnh___ $$Ifa$$If8kd$$IflF$  t06    44 la QYlywww $$Ifa$8ekdz$$Ifl$ t0644 la 8$ & F$Ifa$ $Ifgdayz{|}~tkkkkkk $$Ifa$kd$$IflF$  t06    44 latriii $$Ifa$kdt$$IflF$  t06    44 latkeeeee$If $$Ifa$kd$$IflF$  t06    44 la&trpggg $$Ifa$8kd$$IflF$  t06    44 la&'()*+,tkbbbk $Ifgda $$Ifa$kd$$IflF$  t06    44 la,-.CJKLMNommkicZZZZ $$Ifa$$If8kd$$Ifl^F$  t06    44 layta t 67tux  !"$%ɻ}jhVU*hQmHnHu*jhVUh*"hChVH*^JaJhV^JaJhM1d^JaJjhVUmHnHuhc jhc Uj2hhc <CJU hVH*hVB*phha hahVhV1NOPQR8ekd5$$Ifl$ t0644 la 8$ & F$Ifa$ $$Ifa$tkkkkkk $$Ifa$kd$$IflF$  t06    44 latriii $$Ifa$kd/$$IflF$  t06    44 la    tkeeeee$If $$Ifa$kd$$IflF$  t06    44 la  ]extrpggg $$Ifa$8kdE$$IflF$  t06    44 latkkkkkk $$Ifa$kdЍ$$IflF$  t06    44 latrpggg $$Ifa$8kd[$$IflF$  t06    44 la   tkkekkk$If $$Ifa$kd$$IflF$  t06    44 la   trpnlccccZ $Ifgda $$Ifa$8kdq$$IflF$  t06    44 la 2:MZ $$Ifa$8ekd$$Ifl$ t0644 la 8$ & F$Ifa$Z[\]^_`atkkkkkk $$Ifa$kdk$$IflF$  t06    44 laabctrpggg $$Ifa$8kd$$IflF$  t06    44 latkeeeee$If $$Ifa$kd$$IflF$  t06    44 la *trpggg $$Ifa$8kd $$IflF$  t06    44 la*+,-./01tkkkekk$If $$Ifa$kd$$IflF$  t06    44 la123trrpnhhhhh$If8kd"$$IflF$  t06    44 la $7D $$Ifa$8ekd$$Ifl$ t0644 la 8$ & F$Ifa$DEFGHIJKtkkkkkk $$Ifa$kd$$IflF$  t06    44 laKLMtrpnrrrrrrrr8kd$$IflF$  t06    44 la  !#$%&%&hV4&P1h/R / =!"#$% ~Dd=R  A$?òPLTW_Engineering5Picture 2C:\Users\lsmith\Dropbox\2014-15 Curriculum Release\Templates\Logos\PLTW_Engineering5.jpg"R|,U4d2M0*|DFF|,U4d2M0* ExifMM* P(12҇i `'`'Adobe Photoshop CS6 (Windows)2014:01:28 11:04:460221Knv(~ HH Adobe_CMAdobed            " ?   3!1AQa"q2B#$Rb34rC%Scs5&DTdE£t6UeuF'Vfv7GWgw5!1AQaq"2B#R3$brCScs4%&5DTdEU6teuFVfv'7GWgw ?ΧL3rK(:>͞l mp1h-4Z((_VE^/u;}6f:z4ׇ$VڽfՊs?oZQ]W3Ϭ]Xx77!x▾6lu;o湟ѩ*:Xx5t`w[?gwO̻ f!{~dmV6>_wnk{wc;u~$R7?"?8jQv}CK2a]2v*[[_Z~3Kށ˺YF>3Nc~xeF[g3dK)pLUqq_UZz0FdɜN3me?mU_5#]}GՆc1 47Cw>cn~1v]0ӕ?Wl~zMZUx|9'́q?X**wLǡiӭ cGZ[X}/78WMZSozou&u+m7fӺox9\zأ?#e);eǩ|KSǃ9"^{+f<nBZzJrq)nE7689~^jz- qcHe^oS׹ kn/U'o%X2א2̻(ǪN֚N5[ҳ}vֲZᶗ>῝kf1.^Ө. (Yc7>*g5j貑]}.nwnt-: Ls~?MT8ŷ'aWuVksmë39ezXK-?C /yP)$eNi#{ 9[Ummc1߻kZwV/tұ:Ul=2YGO&;}9LJ|ge?D`_˫/hp2lb>,fe#CzK+muv? {ze%n_2ñ6mcC}OkfY\վ[w+ :~z9E6e-p[={U7MU̖QƇ4<}mٿM* u6R/ƾ7sliݨxYLcr*[cX]{׮.`&uvc}3ƾ~EOMx?^(=8[ ̤HmB'gj*;D~~tSz{7z_O I%v{:u59q}ĽrPW~:{[}aCND9YVI޿#C.ҭʻ7.i'{;cwYg}$5KB·ҭu1C UdK0nޟѺvfV{7m=ȉ6'%~GU9C 9ߠ?F7ډ.]]mu$9i1osm5DZ龖л􌃚nŮԚ- oMV/@qz0Yw7lʱuu Su]8{M~u)%VL~) 8TLc.;)>(_zVMydc2kpM[6~⼒WGIVֱ}<}V̯~.SMXLWZՉw̩k$]Q[acb; 1l.Is[c1OO~=RLIGϣ>*~q$N/Kȣ6m]E|TǺwls[E[=?qc\nRwRklwޡ]YgzԺd֊40Photoshop 3.08BIMZ%GZ%G8BIM%]tn۾9y\8BIM: printOutputClrSenumClrSGrysNm TEXTBlack & WhiteInteenumInteClrmMpBlboolprintSixteenBitbool printerNameTEXT,\\pltwexchange\TOSHIBA eS282/283Series PCL6printProofSetupObjc Proof Setup proofSetupBltnenum builtinProof proofCMYK8BIM;-printOutputOptionsCptnboolClbrboolRgsMboolCrnCboolCntCboolLblsboolNgtvboolEmlDboolIntrboolBckgObjcRGBCRd doub@oGrn doub@oBl doub@oBrdTUntF#RltBld UntF#RltRsltUntF#Pxl@b vectorDataboolPgPsenumPgPsPgPCLeftUntF#RltTop UntF#RltScl UntF#Prc@YcropWhenPrintingboolcropRectBottomlong cropRectLeftlong cropRectRightlong cropRectToplong8BIM8BIM&?8BIM 8BIM 8BIM8BIM 8BIM' 8BIMH/fflff/ff2Z5-8BIMp8BIM8BIM8BIM08BIM-8BIM@@8BIM8BIMUKPLTW_EngineeringKnullboundsObjcRct1Top longLeftlongBtomlongKRghtlongslicesVlLsObjcslicesliceIDlonggroupIDlongoriginenum ESliceOrigin autoGeneratedTypeenum ESliceTypeImg boundsObjcRct1Top longLeftlongBtomlongKRghtlongurlTEXTnullTEXTMsgeTEXTaltTagTEXTcellTextIsHTMLboolcellTextTEXT horzAlignenumESliceHorzAligndefault vertAlignenumESliceVertAligndefault bgColorTypeenumESliceBGColorTypeNone topOutsetlong leftOutsetlong bottomOutsetlong rightOutsetlong8BIM( ?8BIM8BIM8BIM ,4  Adobe_CMAdobed            " ?   3!1AQa"q2B#$Rb34rC%Scs5&DTdE£t6UeuF'Vfv7GWgw5!1AQaq"2B#R3$brCScs4%&5DTdEU6teuFVfv'7GWgw ?ΧL3rK(:>͞l mp1h-4Z((_VE^/u;}6f:z4ׇ$VڽfՊs?oZQ]W3Ϭ]Xx77!x▾6lu;o湟ѩ*:Xx5t`w[?gwO̻ f!{~dmV6>_wnk{wc;u~$R7?"?8jQv}CK2a]2v*[[_Z~3Kށ˺YF>3Nc~xeF[g3dK)pLUqq_UZz0FdɜN3me?mU_5#]}GՆc1 47Cw>cn~1v]0ӕ?Wl~zMZUx|9'́q?X**wLǡiӭ cGZ[X}/78WMZSozou&u+m7fӺox9\zأ?#e);eǩ|KSǃ9"^{+f<nBZzJrq)nE7689~^jz- qcHe^oS׹ kn/U'o%X2א2̻(ǪN֚N5[ҳ}vֲZᶗ>῝kf1.^Ө. (Yc7>*g5j貑]}.nwnt-: Ls~?MT8ŷ'aWuVksmë39ezXK-?C /yP)$eNi#{ 9[Ummc1߻kZwV/tұ:Ul=2YGO&;}9LJ|ge?D`_˫/hp2lb>,fe#CzK+muv? {ze%n_2ñ6mcC}OkfY\վ[w+ :~z9E6e-p[={U7MU̖QƇ4<}mٿM* u6R/ƾ7sliݨxYLcr*[cX]{׮.`&uvc}3ƾ~EOMx?^(=8[ ̤HmB'gj*;D~~tSz{7z_O I%v{:u59q}ĽrPW~:{[}aCND9YVI޿#C.ҭʻ7.i'{;cwYg}$5KB·ҭu1C UdK0nޟѺvfV{7m=ȉ6'%~GU9C 9ߠ?F7ډ.]]mu$9i1osm5DZ龖л􌃚nŮԚ- oMV/@qz0Yw7lʱuu Su]8{M~u)%VL~) 8TLc.;)>(_zVMydc2kpM[6~⼒WGIVֱ}<}V̯~.SMXLWZՉw̩k$]Q[acb; 1l.Is[c1OO~=RLIGϣ>*~q$N/Kȣ6m]E|TǺwls[E[=?qc\nRwRklwޡ]YgzԺd֊48BIM!UAdobe PhotoshopAdobe Photoshop CS68BIMohttp://ns.adobe.com/xap/1.0/ FC09180F88D7CF66262C4BAD999B416D !Adobed@K!    560@!49 12378`:P&'* ! 1"xAq 0Qa2Btw@b#3uv78`CS$46֗EUeVg(  !1AQaq"2srҳ4t@BRb35 0#CP`c$6ST ةГn>,i[ QmZîEܼk~GrNu4; AJײT{_Fmt-)<`~ME2 jM+!ڡh꾞zԿCc%Q2So=^Jbf?0P v@ګ}~ˣjW杪s#5`H4&6,+3Jtۗ,@Mڵ1hwο\/p?t}Y 8 T}pYHıDJfkyn/&撡dM GsY3?^5Hqv=2Vl[wx_>/˻S w ^vBx.43\Hh)ZIlY}>}p)Ȝ~MI>+af7zhk4/M=F:|}$yb2ʲ%C׎蔳(=mLܑ1gu{`fQ/ks6"Bʹ康 V{v<Ʃ=_ߣ͗_ur3:57e㮧V~]85o9?ws\%fkq; Rس/Mұ2Jk7bO/gv;n;^a6u m9 VXkzED < sv<A^Vܶ}AJc&oY6ҏ i&hR ,&rbJl衵fk?.nԵ /riةOC$0Sp1ug$7U}t&[+aJ*ӱ#)d\YX06n6Y5j*_*-ṽAϘ)@ Hx98981線C0$l)F9E=E:Ət_>} .>FiGW oEV-3āfb-@\++^8x7n*-YɖQF(Yx[ц[TҎXBj_i eS,PӔGk95`@Z8L"w~ho녋zY'Np vaCu~ڴ 틍ыYx@Hz ,("3ymhr9U '4Pn $MyTpbFL`*(b[uypv2iQrpT/ (79hN̹e\ J%G)tM<ڬQΙۓ,6J D 񄯔@V9 1Pi u!wcto.9r[)sU_~6)4υn hū>rp܅!/0$y3枨DOM5sTeS@bNGjUW OM,,T;m"5pۻSTUD²Zs6uUU^ckQe 6L*BGko+SvEQv?7A~vo){R3q4S&JœN.R wb--j- k t8"KwxPZ<-Kw(8ZqGk|_;B5GsHgg휤2mTΊ]"ʕW6:mpϸ#*hGJV跪&MI9e45ҪH V%n[6#^sb a07f2Iq;]"'$ag;`L9ZbːoԪ-YJDMJ4U#$ڄCIb,il)(KUHwt0S(\ g*h#gz\߂M1QLfG GzWOC9 uT/^pJr)H{*bϹBT c8bP0k`SE*WiX􊬬(%ZJ]U8PFA Q ))B.. ȃ#*`UDyWJ0"Kȷ3GbEw25Q:S۶tT.߁B`RJcïp'ix.pқ'a @Jt3la%d=&JpE4:OKfѐ a5Ȟ,1]K.^r$)? QrR3E"M{>LWO&O+Y$NDžE1I$%S:*_}o'AuBRZYABIb>XaFYTs~pv"%B$/ռhw :h[ĕ w!>KH ҂-2 ^{إyr@T=~S2(rtdywsB RNA)! JTr䮎9%uIpp.ha;ҩUqM] rGiYP1b4#! )Ka2STAHTn!"jS$pԼ~3 fy4hXZY(X<#u)3W AƠeNU-uzkO 8e8!P^|(AQȓ2%P?M_ ^d[POٛ)ˇ>R*\xO}rkK3|Qxؓyv9(-]U?훱łBٶ"FUtu&mg8MkSlղ-o YK n佸'[=]1(83?{3h--E'676/qq6fsl 0A1cV$ e4ɀym^>-Bw8\p ˫%8ϋٍlYΤxi!9H[KInMfXݰ~;ɳ//vl&oXi%/V2 ~^mv뫋}֏[6\ee+e| jߟ\KpYXckK|aa?f?vvQ]i]|${֮ܞ&K,mK tȕ%*C!<4W phC<9 mWuIj&>tC+Oz>!CĮ4_#^1JE1M(Fgnsj (Jxִ. '|C$+H֠WE9\CZCqmwp$ hyb  ((s#}$ܝwu,b NN֤-#L1ymaqkCO n!)֎tk! HX[n{Ĕ%Fy[$cW;XkRA"-36y"C}6 a \A~wcK\ N!P( 7ءAp/n>'Í口Y8]8YiPώrh!k~^'oC'H3Ak0F_sm Ш;$!DMmqi}$\?[m]ԚZ]3ӷHڢpW աĵ ҥقuþGr2:QAq #v*G[gzKKQ&|qxse\KZ\KEî6 ; t Fx[+IABX9n juK̴(2丑/(:H28u","A|v g#Kzx4xHc?E 5{Տ_0,{Tr<0NiMjDמ!|cF.Z+4qoV*pݼ܉I?V9EwŞeu.& +_&9uZ艻ƆG<8O,E%WIJFDHm-c/ ?4g{/hDJ48@msfkTQn-sO/l& fEHTRѵ}?M=w I\MEɱ!=ÆBDVTj8ւ)9ritbNZĉ{U0k7oʼn5u*˞6>mؓnsȴk@o Nhs vgwxE9?pKTi>➵~,<(_`=M (9o,gts#y>S*A{$kX~lִe9Nd^@ X8ANmrxTq8mCKn =F`ͱ 44(+_Y#gט4"6=i3GjN ms\۠5ƷQ#^* p*\ہw};'I $  ϋY̥Hk-9(6RJo-[qZF`B`G^ q*Ii]xEjI4㤡987i K; qw]H]$$~W4P KɰtN~P4T=#ѵ}?Mݧ5C|dEF?z˂o%. Hx|f3&c`yc7mYme1G{~bH؏ 2$NQ,TH8_G9 v>1~周d3S $|,} &7q{[Df:>vE=g3晍 jhu1wl=zGGݾq}3w柍A~?L=uEiko d9p$8(p:<}Vb!ccyp$Wv"{#k@:Uxۧl2I-kQ䓣dK=!I?ѹۏv#ָ5>^p#Cw[RzGlq(q1;Ơi>{xȺtҵ6u3ũܮL!tȫ֏?&>1i\@ 3팺۹sIdSHmpP0ť$Ѵq&LmDɟ\ ؇5[۰0P\{>3Ik}eP`k{ZSQ O[LJcjgLJb78䱍$@)tE5|.s!VBgNl#YnIqhn ŝ h88(^ +q$j j@HV?ޙq-+`Č&Jca3Hqq,aJrP1Zyn]둅*֢4*qa5̎!,oI :@CA܈,k"lH M= h88(^ [Xm!q@sB"},BTi gsxăHT:uwNj*Oğu- <J.wA)ya`SXjubb|ђ$rk=Tj`! R..cuRQ ѳ+pI 5 hn#fc}b/{ۯ殬Uˣq!tX/hyWF׳y6RDpj$ݶpI斩i+X~ն\+t19LioqJ NI)N3 Z'̲0CIkU@#4Pm `t;"Tbl6-pZTr?6nk/`B3buFidmjԫ h S2G̸>3{.-s'iP e J~ $w ǹJaM#!̒I=?/gv^(ıGmk\@$=PR5 ,?a_gǏ8l7Uo W.#c\Hx /Mqš4+l P8IȦu D[1$U2p(Qխ@ UZݲ6A@5.*k MxBI d 1$h"l,j{Rr@5UgEchr\ƔD#=^LSa %%kPq<QJ30E#i4v''H'2(Qu@S朲9as+(9[p*93}_ZEF $a&@TuG%L$O`vx1}!۸umGhbI!!L 'F(婪Pv֝7h(x4{Jl%ͼ0psHT2Eh:fy5=kh~u?kE43CX֖NI:QŢT;ɤS4u O 5BKãp?DPzU{fJX'\63\VLOє0Ԟs姆yuk AouQUzN@&zTCan[^*y(FXࠎ uN(9PԮIA@Xit0ATsBu#uATj %Yf Mz \ :\ ((j! @i#&m/odl `1o׶?nmyzb 6Dҫg5\8UZ!$亁g4O;/@`X{ysNj74 *:zZJ*FH+Oh~uGzmv7Ob&/eF9E|`F_8q}Ϝn,]2{1,\N!kQxx1>N%Y^:\CAϞ7KdsQHpA)qۯ>N#y3O_Ȝlݯ7s/a oK,q ʄ*~6`Dt^'t]TNbuD 79`h8q8wqU8gU}WpHd]j Y9<5)JˤT%T,[[xԭ" z-B8 M B*34yqȠ%ztm|ub* \Yۇ<$:(T,!2Z4#ǯK[ _/2o_6Pj\7m6э-wx\Fyב0PI-%Oj@FWcl G8/Fꔣdk/qHPPjHa1I% %rPyp3ᇺ\A)@zyQ!thUCǁ[}m{JRA1c;A{8?zo Rxj&1AwI@Tun͕lpQog=ZM+# -iȂhG39!Cu Oe}TՉdQ >[-Bٞ ~/-9 Up❞ xŶbFC']q "%)CBmNj"jn}(j"cP!@;DG*{}ٺ0WrGM4Ɏ׏ٴ/?J۶ ;[: yy1qR"üϑ`)Li--SuihV)yٶjsmLnܤA) qn)X d̛ o_v籕}Yi)֚lnBB9^RzAǖX|h$8,gPC#rZ{g#5€;Ȝku\WYEZ݇"BAF"F"Qh-rAcfv/Xm3qd Z&OofNnRUːVa޻XjŤrQ( =vU&ףp+90sy\E+^5 7mYxΩUUA`PDSja2jES9qĪ$ g !9 #]C8cpW5^,r6*V6nJ=w.^ V5αPE3(eC|'v[boTŠ)9hV(s,.!jTRAr$T1L=囍=|]F,w־8hӓѴC-Wy"7NbHjyH<& l8ב)dmY*o,kUfD[‰"'n٫:KEF`픪݊uJbxlMB}'oHTqni,jB}kӖɗEfR@&<:ws6:䡱f;PșYvg ]4+Q-1""#Ljl_xO1#D99CQ1"">q3jנx$3<~9)F(8A)9Amc,ȺJb9DG ߪxm_$xȤNͰf'ܿ9B Ѩqv+$dwZ>r7(ʲ y$I;=rQr浑wOڞ3~U҄eZ5B&̉@qrJI-nG[)۹+b |Mkk.pw RN[,MvPHUYa"0CǴG!2IqYU\!@]C#hp%3Kvr ٺPؾw|pKB#"Ҥӝ$;Eʿ;#s7v{֭qa0kDDEFɓw\ʈHƅMia!bN8Iq~S :O7$gfJՖgn+vl;ZcwS$e3(>:իԻ2'`lHGf1:*'ת}n^^"3:t#U1hv]"SB:M=< 8iɹa%5R9~Ȇv5vۢ@̚)4e#j)4yVOonc+FQ)އyQܱh b2ٙ\֢ luk>2x4r˘rnTe1\aW6»$HgzKmڷ5jxѬ4JE){9yO v#nsũ'l Vr*kB(ɻsTq#QXЩ/ VhPbfc"N#n` 6봬fZ0],~N=Dan66:q@Rf'MG6i9H!O|bPt ׮URe"&&rq2pP1tJ=k"Jt›pպ$h%Rd&4%*$"t' "pmwᏘ0>= 8& qssfHQ1Mط[2L:,%fZI#%g>N=I;1I- 9FJ6 Ixdc',;`U2 (n5kcFřGL_0t벋w6wJU,cr"`l7'M7-eo.[b(Kl t^Rw.n(Ӆ$: WJvMp4贌a+U{JGQ;`"Ep2͒ߐm]6jm](T%Za9Kښd,{x&`#(HT3pէ%qm/%sJKpe4$͂rG`bPH.y7_՝%6iC ZpbؓZt{ƴLqbep7O@h#'/We5PCB"jҎ)ԩDG懟^O0es'u )1:GF7{ah&~Gf$A:zA>֪ÙV.Ak%jfMYTC,6Ȉk>crj>"-}>\_y.X9:aYUBiw2O<|c-kBc¥:cqD<0w_  ) EϦ*sDDDxa3<8x5y_Xt^xmc:ݿG:D^^.ݼ!%|9%h*ag"(Ƭݺן^K·okJ{fxܪPQN2{QRy:1CQfPQ*_bRP `Oqӵr7 [&lV.*: J2T;20 LK+,I :^Uw~\\ݪtPZK(4.(n+4F囲faud}-eٱe EN^j" XئBۄ $c[ruS*r`pfXUdvpPWܵ!cp)AwffĂu56v_Ss#S{nJZ/Y+ ,m9b/{ [f<pSPYR!` =-#0U/ :g(^ HYr4c.4#Vm"D MPxyF2P}-3,$^n_OwIlY]ֱ. G5M :qh.@ImDUJ*RM[!>`XɷI4Vdp2cs#k|;qq19p(d{jE1Z: p,)4gb["=tYQ3z'0p*582lXL"VXfnݛf*iBB@u/1mXٲerdӌaI/1vkȭ7o} l'A!CRvwH]r[tr3Y9Tx-P1LS*LM@ntweaNJ YPZ)Vq̻ bpIUm{,oM5g_}rUBgfXivV t1da]m^MbRe6ԇj#ü6a5xPYF4ERճPC]fPPUxXfn٣&!]8^ִؾf.qO俉s\xwC?pfmOݮ,ERĈ4XSKP 9Ae "&׏ io!fen{lp;w,GK6>c& JĘL* ق3 gn/!e+%rlk1n ڧ<pG94x` ):%d098w,MO+V&9칒L*S"Iqt^#i~wG~fVOcީy7=v$S8?g*~_rmyxUp9Wd)Ua$f* LB14tPfX*1ipcHP71S|ղM@5O7()JLS%Y S !v_Ss\lOS-Cqg{yT+/53 EAEQȶPmE:Msǁ@O2e}J JrE9(aGXU*J,B7s^>83%_'hL]1"iIƊķ@ٜa9'L4MnɐypPrd, ,ƅQ|DHNsN?{ n?[żnKY!$/oM\ цS]]5% ,< ~+u)/i  RrcPRkeH]JKL L\kd*$$ [b10s*B>[%ʝX}gɛfV-^>1ԵF `nú@PD:E$r+ASQ#O{\N2촤#-NVD u@E˔|25v[`Ţ$nѓ&hVLML! R8ptt5rn峂%ۮ:k"G)"5AlzVPƓ8awYXXy(Ua]M"b.@05;]MFP*"*s^C[1 R^SU T2O~9j剔li0vȐTAR(]HrZPۭzQU,9$!B5lRRADA#q)Dxk3^/e36o$(Tu1+șCEK2"G9Dt2Ϳ;N#dK cSI>Egk1SN1n e\$Af؜Lp8wrßbWt"ꧣ6ח!`ıK[eh_xQ\?4 & _%NRC1 &)aATH6w-(mSUʴ+ImTD]=Zay$ll5h2d%~Y My+$g9H3I19USUabgPGZ$KCݡkmeMXHeRd(Jg %)P9LQ3rz)m v|tuA@CP,)fTN^@7 =@tdVx^uڇqǜ~?Sy<>#cN8ڷeJ9fPuS#go IyPxb n]Vrcʕy kcU[i_u"A%܂bHv w Ptg^rғQOXrRW-Q6Ը|[o%ӽrqSQUp Bӌ-@2)oȹ!Ƌ6 ,񡠝_mG5jůV~^VQଠ&aӡ QaSʽDZWkC@B6="!>ˍr:q5H{U2zaTv2(qU" r!L#beD[.cZu- I;{^vAC_аWϷ5Uk.I+D Ϗ(x.l2BXuʘz%T1tVUur\KZGS(XK)Pm$$If!vh#vh%:V l t065$$If!vh#vZ #v#vZ :V l t0655 5$$If!vh#vZ #v#vZ :V l t0655 5$$If!vh#vZ #v#vZ :V l t0655 5$$If!vh#vZ #v#vZ :V l t0655 5m$$If!vh#vh%:V l t065$$If!vh#vZ #v#vZ :V l t0655 5$$If!vh#vZ #v#vZ :V l t0655 5$$If!vh#vZ #v#vZ :V l t0655 5$$If!vh#vZ #v#vZ :V l t0655 5m$$If!vh#vh%:V l t065$$If!vh#vZ #v#vZ :V l t0655 5$$If!vh#vZ #v#vZ :V l t0655 5$$If!vh#vZ #v#vZ :V l t0655 5$$If!vh#vZ #v#vZ :V l t0655 5$$If!vh#vZ #v#vZ :V l t0655 5$$If!vh#vZ #v#vZ :V l t0655 5m$$If!vh#vh%:V l t065$$If!vh#vZ #v#vZ :V l t0655 5$$If!vh#vZ #v#vZ :V l t0655 5$$If!vh#vZ #v#vZ :V l t0655 5$$If!vh#vZ #v#vZ :V l t0655 5$$If!vh#vZ #v#vZ :V l t0655 5$$If!vh#vZ #v#vZ :V l^ t0655 5ytam$$If!vh#vh%:V l t065$$If!vh#vZ #v#vZ :V l t0655 5$$If!vh#vZ #v#vZ :V l t0655 5$$If!vh#vZ #v#vZ :V l t0655 5$$If!vh#vZ #v#vZ :V l t0655 5$$If!vh#vZ #v#vZ :V l t0655 5$$If!vh#vZ #v#vZ :V l t0655 5$$If!vh#vZ #v#vZ :V l t0655 5$$If!vh#vZ #v#vZ :V l t0655 5m$$If!vh#vh%:V l t065$$If!vh#vZ #v#vZ :V l t0655 5$$If!vh#vZ #v#vZ :V l t0655 5$$If!vh#vZ #v#vZ :V l t0655 5$$If!vh#vZ #v#vZ :V l t0655 5$$If!vh#vZ #v#vZ :V l t0655 5$$If!vh#vZ #v#vZ :V l t0655 5m$$If!vh#vh%:V l t065$$If!vh#vZ #v#vZ :V l t0655 5$$If!vh#vZ #v#vZ :V l t0655 5DdX  C &Amso1DB"@@bP @]p8UwvFnP @]p8UwPNG  IHDR exsRGBPLTE';bRQxx,+yy;bqpbbuvZZLLxwjjNNA@zzmm^_ywyxxwRR,*++X6 cmPPJCmp0712tRNS0JIDAT]= PԘc FF??!*pkjjp $i( w?ѹ|L Յ{Qd:$~9lwVİCSLQE|18RK篽CPגZd?۵*$`IENDB`Is666666666vvvvvvvvv66666686666666666666666666666666666666666666666666666666hH6666666666666666666666666666666666666666666666666666666666666666662 0@P`p2( 0@P`p 0@P`p 0@P`p 0@P`p 0@P`p 0@P`p8XV~ 0@ 0@ 0@ 0@ 0@ 0@ 0@ 0@ 0@ 0@ 0@ 0@ 0@ 0@_HmH nH sH tH H`H Normal CJOJQJ_HaJmH sH tH RR  Heading 1$hx@&^h5OJQJ\^JF"F  Heading 2$@&5>*CJ\aJDA`D Default Paragraph FontVi@V 0 Table Normal :V 44 la (k ( 0No List XOX Activity Body + Bold h^h 5^JaJnon Activity Body + Bold Char#5CJOJQJ^J_HmH sH tH </<  Picture Char CJOJQJH"H  Balloon TextCJOJQJ^JaJbo2b Activity Body h^h$CJOJQJ^J_HaJmH sH tH BBB activity bullet  & F+@"@ Caption xx5CJ\aJJU aJ  Hyperlink5>*B*CJOJQJaJph^r^ ActivityHeading-D@M B*CJ0aJ0phROR ActivitySection xxm$ 5CJ aJ n/n ActivitySection Char Char#5CJ OJQJ_HaJ mH sH tH VV V FollowedHyperlink>*B* CJOJQJaJph2 @2 Footer$a$CJB' B Comment ReferenceCJaJ<<  Comment TextCJaJ@j@ Comment Subject5\NN activity references ^^JZZ ActivitySubNumber ^`^Jjj Activity Bullet 2nd level! (^(`aJZ"Z Activity body + Bold"hxx^h5\R/1R ActivityBody Letters5>*CJOJQJNBN ActivitySubLetter $ & F x^J4OR4 Picture%$a$aJN1bN Activity Body + Italic&6]*/q* Italic6]BB Main Heading($a$5CJ(:OQ: Picture left)$a$<< Note Bold* 5CJ\]DD List NO Bullet +^aJll Activity Body + Italic and Bold ,h^h 56]BQB Picture Centered-$a$TT Picture Caption.$xx^a$aJJJ Activity sub 2/ & Fxm$^JZZ Picture Bullet After 6 pt0x5aJ^A^ ActivitySubLetter + Italic 1 & F6]L"L Note3rdLevel2 & Fxx^NA2N activity bullet + Bold35\ZABZ ActivitySubLetter + Bold 4 & F5\bRb Activity Body Listing5x^`m$aJTbT Activity SubHeading 6dd 5\aJFQrF Caption + Centered7$a$LOL Activity Numbers 8 & F-x^J>/> Ans Key5B*CJOJQJph`!` Activity body Bold + Centered:$a$aJVV Activity Body + Centered;$a$aJVV Ans Key Centered<$a$5B*\aJphRR Activity Body Notes =h^hCJ^J44 Note >h^hCJ^JHH Note 2nd Level ?^^JaJPAP NOTE Activity Bullet @ & F!CJR/R Ans Key + 16 pt5B*CJ OJQJ\phZA"Z activity bullet + Italic B & F6]4/14 Normal 10 ptCJJBJ AlphaLowerCaseSub D & F&^JJRJ ActivitySubBullet E & F'aJ\Ab\ ActivitySubLetHL + Italic F & F)6]4r4 HQ 0Header G H$>/> GQ 0 Header CharCJOJQJaJPK![Content_Types].xmlN0EH-J@%ǎǢ|ș$زULTB l,3;rØJB+$G]7O٭VvnB`2ǃ,!"E3p#9GQd; H xuv 0F[,F᚜K sO'3w #vfSVbsؠyX p5veuw 1z@ l,i!b I jZ2|9L$Z15xl.(zm${d:\@'23œln$^-@^i?D&|#td!6lġB"&63yy@t!HjpU*yeXry3~{s:FXI O5Y[Y!}S˪.7bd|n]671. tn/w/+[t6}PsںsL. J;̊iN $AI)t2 Lmx:(}\-i*xQCJuWl'QyI@ھ m2DBAR4 w¢naQ`ԲɁ W=0#xBdT/.3-F>bYL%׭˓KK 6HhfPQ=h)GBms]_Ԡ'CZѨys v@c])h7Jهic?FS.NP$ e&\Ӏ+I "'%QÕ@c![paAV.9Hd<ӮHVX*%A{Yr Aբ pxSL9":3U5U NC(p%u@;[d`4)]t#9M4W=P5*f̰lk<_X-C wT%Ժ}B% Y,] A̠&oʰŨ; \lc`|,bUvPK! ѐ'theme/theme/_rels/themeManager.xml.relsM 0wooӺ&݈Э5 6?$Q ,.aic21h:qm@RN;d`o7gK(M&$R(.1r'JЊT8V"AȻHu}|$b{P8g/]QAsم(#L[PK-![Content_Types].xmlPK-!֧6 0_rels/.relsPK-!kytheme/theme/themeManager.xmlPK-!R%theme/theme/theme1.xmlPK-! ѐ' theme/theme/_rels/themeManager.xml.relsPK] & z t%& '<$ ! n u RYy&,N  Za*1DK& !"#$%&()*+,-./0123456789:;!@ @, (    ;  @4 DRAFTArialPowerPlusWaterMarkObject1c"$?  ;  @4 DRAFTArialPowerPlusWaterMarkObject2c"$?0(  B S  ?$t$t_PictureBullets''$'$' KP\$Fqh*U[uvQ|( ) * *   ]   1 2 ^ .vG  $''K%,Ֆ1r6RLns 5CRf ` ZA> ʕ;hg )D$Q+4=zw{P.zL$d>/%@tTQ&ւtx&3&R'=*6^.lr>/D2Y$l2l Qzz3u 4(X@nV5 P >N@~y9B 8GD4"GWʯ2sSH*Q"X<&j\l HNazϓWhւtx=-l>0qiFKsf7 Mt dr/% TQ&'=* 8GD@Q+;hg >2sS Mt9Bw{WhWh)0qiFKsHNaHNaHNau 4>/>/3&C^.K%nsL$&j\r6HNaHNaHNaHNa@nV5HNa LPe L L L L((̐x        <_`        0Yp        ´N        ^                A         2wy        @DX^        -        b        >8j&Xx/>g0C`        x;:        $)&         c *"JKaM1d1Qa]VCx`Q =@&@UnknownG*Ax Times New Roman5Symbol3. *Cx Arial5. .[`)Tahoma?= *Cx Courier New;WingdingsA$BCambria Math"1 h.SG.SG1fxx!x0 2qXR $Pa2!xx <C:\docs\PLTW 07\07-08 templates for engineering\Activity.dotFluid Power Practice Problems'POE - Unit 3 - Lesson 3.3 - Fluid PowerPOE Revision Team Groller, Seth'                           ! " # $ % & Oh+'0 , DP p |   Fluid Power Practice Problems(POE - Unit 3 - Lesson 3.3 - Fluid PowerPOE Revision Team ActivityGroller, Seth2Microsoft Office Word@@s@eڧ@eڧx՜.+,D՜.+,` hp  Project Lead The Way, Inc. Fluid Power Practice Problems TitleH 3{_AdHocReviewCycleID_NewReviewCycle_EmailSubject_AuthorEmailDisplayName_PreviousAdHocReviewCycleID_ReviewingToolsShownOnceeUnit 4 Lesson 1 #1@/O=PURDUE UNIVERSITY/OU=SCHOOL OF TECHNOLOGY/CN=AT/CN=WAWATKINS P)  !"#$%&'()*+,-./0123456789:;<=?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~Root Entry F*~ڧData >1Table©WordDocument6zSummaryInformation(DocumentSummaryInformation8CompObjr  F Microsoft Word 97-2003 Document MSWordDocWord.Document.89q